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Finding the Fourth Proportional to 89,550, 123,461.84 and 64,998.74

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Solution

The fourth proportional to 89,550, 123,461.84 and 64,998.74 is: 89,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,550 : 123,461.84 = 64,998.74 : x
  2. Step 2: Convert to fraction form
    89,550/123,461.84 = 64,998.74/x
  3. Step 3: Cross multiply
    89,550x = 123,461.84 × 64,998.74
  4. Step 4: Simplify right side
    89,550x = 8,024,864,038.08
  5. Step 5: Solve for x
    x = 8,024,864,038.08/89,550
  6. Step 6: Final answer
    x = 89,613.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.